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Twinkle Toes Tony kicked a football, and it landed 80 feet from where he kicked it. It also reached a maximum height of 160 feet.

What is the A Value (as a decimal):

What is it the H value, if Tony Kicks the ball at the origin.

What is the K value:

What is the equation in graphing form?

User Allan F
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2 Answers

14 votes
14 votes

Answer:

The A value, H value, and K value are all related to the equation of a parabola, which is a curve that is shaped like a U. The equation of a parabola can be written in the form:

y = a(x - h)^2 + k

where a is the A value, h is the H value, and k is the K value.

In this case, since the football reached a maximum height of 160 feet and landed 80 feet from where it was kicked, we can use this information to determine the A value, H value, and K value.

To find the A value, we need to find the value of "a" in the equation above. The A value represents the rate at which the parabola opens or closes, and it can be positive or negative. If the A value is positive, the parabola will open upwards like a regular U, and if the A value is negative, the parabola will open downwards like an upside-down U.

To find the H value, we need to find the value of "h" in the equation above. The H value represents the horizontal shift of the parabola, which is how much the parabola is shifted to the left or right.

To find the K value, we need to find the value of "k" in the equation above. The K value represents the vertical shift of the parabola, which is how much the parabola is shifted up or down.

To find the equation of the parabola in graphing form, we need to substitute the values of A, H, and K into the equation above.

For example, if the A value is 0.5, the H value is 10, and the K value is 20, the equation of the parabola would be:

y = 0.5(x - 10)^2 + 20

This equation can then be used to plot the parabola on a graph.

Explanation:

User Vvra
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24 votes
24 votes

The vertex form of a quadratic equation:

  • y = a(x - h)² + k, where (h, k) is vertex.

Let the starting point be (0, 0).

The vertex is the highest point and is:

  • (80/2, 160) = (40, 160)

Substitute the values h = - 40, k = 160, x = 0 and y = 0 then find the value of a:

  • 0 = a(0 - 40)² + 160
  • 0 = 1600a + 160
  • 1600a = - 160
  • a = - 0.1

The equation is:

  • y = - 0.1(x - 40)² + 160 in the vertex form or
  • y = - 0.1(x² - 80x + 1600) + 160 = - 0.1x² + 8x - 160 + 160 = - 0.1x² + 8x in the standard form
User CS GO
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